55078

| | 234 |

| 2 | 550784 |

| 43 | 150129 |

| 464 | 21781856 |

| | 322 |

Taking square root of 55078, we find that 322 has been left

We see that 55078 is greater than (234)2

On adding the required number to 55078, we get (235)2i.e., 55225

Required number = 55225 55078 = 147